On the commutation properties of finite convolution and differential operators I: commutation
Analysis of PDEs
2021-06-04 v3
Abstract
The commutation relation between finite convolution integral operator and differential operator has implications for spectral properties of . We characterize all operators admitting this commutation relation. Our analysis places no symmetry constraints on the kernel of extending the well-known results of Morrison for real self-adjoint finite convolution integral operators.
Cite
@article{arxiv.1807.09252,
title = {On the commutation properties of finite convolution and differential operators I: commutation},
author = {Yury Grabovsky and Narek Hovsepyan},
journal= {arXiv preprint arXiv:1807.09252},
year = {2021}
}